Quanta

[:es]Two mathematicians have proved that two different infinities are equal in size, settling a long-standing question. Their proof rests on a surprising link between the sizes of infinities and the […]

[:es]Reductionism breaks the world into elementary building blocks. Emergence finds the simple laws that arise out of complexity. These two complementary ways of viewing the universe come together in modern […]

[:es]Take chemistry, add energy, get life. The first tests of Jeremy England’s provocative origin-of-life hypothesis are in, and they appear to show how order can arise from nothing.[:]

[:eu]Kaisa Matomäki has proved that properties of prime numbers over long intervals hold over short intervals as well. The techniques she uses have transformed the study of these elusive numbers.[:]

[:eu]Maryam Mirzakhani’s monumental work draws deep connections between topology, geometry and dynamical systems.[:]

[:eu]A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.[:]

[:eu]Supernova hunters were able to train their telescopes on a recent eruption just hours after it exploded. What they found only adds to the growing list of questions surrounding these […]

[:eu]If gut bacteria can sway their hosts to be selfless, it could answer a riddle that goes back to Darwin.[:]

[:eu]Grand ideas have a way of turning up in unusual settings, far from an office or a chalkboard. Months ago, Quanta Magazine set out to photograph some of the world’s […]